2552040000 has 560 divisors, whose sum is σ = 9998049600. Its totient is φ = 635904000.

The previous prime is 2552039969. The next prime is 2552040011. The reversal of 2552040000 is 402552.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18359931 + ... + 18360069.

It is an arithmetic number, because the mean of its divisors is an integer number (17853660).

Almost surely, 2^2552040000 is an apocalyptic number.

2552040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999024800).

2552040000 is an abundant number, since it is smaller than the sum of its proper divisors (7446009600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2552040000 is a wasteful number, since it uses less digits than its factorization.

2552040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2552040000 is about 50517.7196635003. The cubic root of 2552040000 is about 1366.5614301941.

Adding to 2552040000 its reverse (402552), we get a palindrome (2552442552).

The spelling of 2552040000 in words is "two billion, five hundred fifty-two million, forty thousand".